3x²-5x-4+xy-(2xy+2x²) Simplified is x²-5x-4-xy
Assuming that the triangles are congruent, you can just look at the parts on each triangle to find the parts on the other triangle. The answers are yes, yes, and no. The triangles are obviously not drawn to scale, so just remember to never rely on it being so.
Answer:
6.68, 13.37, 14.95
Step-by-step explanation:
One of the legs is twice as long as the other.
b = 2a
The perimeter is 35.
35 = a + b + c
The triangle is a right triangle.
c² = a² + b²
Three equations, three variables. Start by plugging the first equation into the second and solving for c.
35 = a + 2a + c
c = 35 − 3a
Now plug this and the first equation into the Pythagorean theorem:
(35 − 3a)² = a² + (2a)²
1225 − 210a + 9a² = a² + 4a²
1225 − 210a + 4a² = 0
Solve with quadratic formula:
a = [ -(-210) ± √((-210)² − 4(4)(1225)) ] / 2(4)
a = (210 ± √24500) / 8
a ≈ 6.68 or 45.82
Since the perimeter is 35, a = 6.68. Therefore, the other sides are:
b ≈ 13.37
c ≈ 14.95
Answer:
five miles
Step-by-step explanation:
taxi A: for one mile: 10.75
taxi B: for one mile: 11.75
two miles: A: 12.25 B: 13
three miles: A: 13.75 B: 14.25
four miles: A: 15.25 B: 15.5
five miles: A: 16.75 B: 16.75
Answer: 0.065
Step-by-step explanation:
Given : Sample size : n= 320
The sample proportion of people who rent their home : 
Significance level : 
Then , Critical value : 
The formula to find the margin of error : -
Hence, the margin of error for the confidence interval for the population proportion with a 98% confidence level =0.065
